p(x) numerator

Numerator coefficients, in ascending order of power, of the first rational polynomial.

This input accepts the following data types:

1D array of double-precision, floating-point numbers

1D array of complex double-precision, floating-point numbers

p(x) denominator

Denominator coefficients, in ascending order of power, of the first rational polynomial.

This input accepts the following data types:

1D array of double-precision, floating-point numbers

1D array of complex double-precision, floating-point numbers

q(x) numerator

Numerator coefficients, in ascending order of power, of the second rational polynomial.

This input accepts the following data types:

1D array of double-precision, floating-point numbers

1D array of complex double-precision, floating-point numbers

q(x) denominator

Denominator coefficients, in ascending order of power, of the second rational polynomial.

This input accepts the following data types:

1D array of double-precision, floating-point numbers

1D array of complex double-precision, floating-point numbers

error in

Error conditions that occur before this node runs.

The node responds to this input according to standard error behavior.

Standard Error Behavior

Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

error in does not contain an error

error in contains an error

If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

Default: No error

threshold

Level at which the node removes the trailing elements from the numerator and denominator of the product of two polynomials.

This node removes the trailing elements whose absolute values or relative values are less than or equal to threshold. If all the elements in the numerator and denominator of the product of two polynomials are less than or equal to threshold, g(x) numerator and g(x) denominator return a one-element array.

Default: 0

threshold type

Method this node uses to remove the trailing elements from the numerator and denominator of the product of two polynomials.

Name

Value

Description

Absolute Value

0

Removes the trailing elements whose absolute values are less than or equal to threshold.

Relative Value

1

Removes the trailing elements whose absolute values are less than or equal to threshold * |a|, where a is the coefficient that has the maximum absolute value in the numerator and denominator of the product of two polynomials.

Default: Absolute Value

g(x) numerator

Numerator coefficients, in ascending order of power, of the rational polynomial that results from the multiplication of two rational polynomials.

This output can return the following data types:

1D array of double-precision, floating-point numbers

1D array of complex double-precision, floating-point numbers

g(x) denominator

Denominator coefficients, in ascending order of power, of the rational polynomial that results from the multiplication of two rational polynomials.

This output can return the following data types:

1D array of double-precision, floating-point numbers

1D array of complex double-precision, floating-point numbers

error out

Error information.

The node produces this output according to standard error behavior.

Standard Error Behavior

Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

error in does not contain an error

error in contains an error

If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

Algorithm for Multiplying Rational Polynomials

This node uses the following equation to multiply one rational polynomial by another: